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Finding the Fourth Proportional to 12,841.92, 17,712.34 and 8,121.64

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Solution

The fourth proportional to 12,841.92, 17,712.34 and 8,121.64 is: 11,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.92 : 17,712.34 = 8,121.64 : x
  2. Step 2: Convert to fraction form
    12,841.92/17,712.34 = 8,121.64/x
  3. Step 3: Cross multiply
    12,841.92x = 17,712.34 × 8,121.64
  4. Step 4: Simplify right side
    12,841.92x = 143,853,249.04
  5. Step 5: Solve for x
    x = 143,853,249.04/12,841.92
  6. Step 6: Final answer
    x = 11,201.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.